TeX Quellcode:

\begin{array}{lclcrcl} \quad\mathbb{D} &=& \mathbb{R} \\\\f(t) &=& \ln\left(\dfrac{5}{2}t^2+14\right) \\ \\\quad g(h(t)) &=& \ln\left(h(t)\right) & \Rightarrow & g'(h(t)) &=& \dfrac{1}{h(t)} \\\quad h(t) &=& \frac{5}{2}t^2+14 & \Rightarrow & h'(t) &=& 5t \\\\f'(t) &=& \dfrac{1}{\frac{5}{2}t^2+14}\cdot 5t \\&=& \dfrac{5t}{\frac{5}{2}t^2+14}\end{array}